Search a number
-
+
49983272640 = 26385719179
BaseRepresentation
bin101110100011001111…
…000011011011000000
311210000102100100000000
4232203033003123000
51304331204211030
634543443000000
73416426543640
oct564317033300
9153012310000
1049983272640
111a21a288594
12982b369000
134937464092
1425c2418520
15147818d860
hexba33c36c0

49983272640 has 1008 divisors, whose sum is σ = 215966649600. Its totient is φ = 10762979328.

The previous prime is 49983272629. The next prime is 49983272719. The reversal of 49983272640 is 4627238994.

49983272640 is a `hidden beast` number, since 499 + 83 + 2 + 72 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 279236071 + ... + 279236249.

Almost surely, 249983272640 is an apocalyptic number.

49983272640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49983272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107983324800).

49983272640 is an abundant number, since it is smaller than the sum of its proper divisors (165983376960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49983272640 is an equidigital number, since it uses as much as digits as its factorization.

49983272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 49983272640 in words is "forty-nine billion, nine hundred eighty-three million, two hundred seventy-two thousand, six hundred forty".